寻找戈登身份的新成员
Looking for a new member of Gordon's identities
摘要：
对Rogers-Ramanujan恒等式的推广“Gordon恒等式”中的Andrews递推公式给出了交换代数的观点.使用这种方法和微分理想，我们猜想一个家庭的划分身份，扩展戈登的身份。该族的索引为r >=2。我们证明了r=2和r=3的猜想。
英文摘要：
We give a commutative algebra viewpoint on Andrews recursive formula for the partitions appearing in "Gordon's identities", which are a generalization of Rogers-Ramanujan identities. Using this approach and differential ideals we conjecture a family of partition identities which extend Gordon's identities. This family is indexed by r >=2. We prove the conjecture for r=2 and r=3.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
